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Finding the Third Proportional to 260,854.50 and 549,730.50

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Solution

The third proportional to 260,854.50 and 549,730.50 is: 1,158,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,854.50 : 549,730.50 = 549,730.50 : x
  2. Step 2: Convert to fraction form
    260,854.50/549,730.50 = 549,730.50/x
  3. Step 3: Cross multiply
    260,854.50x = 549,730.50 × 549,730.50
  4. Step 4: Simplify right side
    260,854.50x = 302,203,622,630.25
  5. Step 5: Solve for x
    x = 302,203,622,630.25/260,854.50
  6. Step 6: Final answer
    x = 1,158,514.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.